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12133201300 = 2252111672572
BaseRepresentation
bin10110100110011000…
…11111010110010100
31011022120202111011221
423103030133112110
5144322044420200
65323544340124
7606446336503
oct132314372624
934276674157
1012133201300
11516696a7a0
122427474644
1311b493146c
148315b283a
154b02d291a
hex2d331f594

12133201300 has 108 divisors (see below), whose sum is σ = 29007455904. Its totient is φ = 4368588800.

The previous prime is 12133201271. The next prime is 12133201307. The reversal of 12133201300 is 310233121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133201307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47210772 + ... + 47211028.

Almost surely, 212133201300 is an apocalyptic number.

12133201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503727952).

12133201300 is an abundant number, since it is smaller than the sum of its proper divisors (16874254604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133201300 is a wasteful number, since it uses less digits than its factorization.

12133201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12133201300 its reverse (310233121), we get a palindrome (12443434421).

The spelling of 12133201300 in words is "twelve billion, one hundred thirty-three million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 257 275 334 514 550 668 835 1028 1100 1285 1670 1837 2570 2827 3340 3674 4175 5140 5654 6425 7348 8350 9185 11308 12850 14135 16700 18370 25700 28270 36740 42919 45925 56540 66049 70675 85838 91850 132098 141350 171676 183700 214595 264196 282700 330245 429190 472109 660490 726539 858380 944218 1072975 1320980 1453078 1651225 1888436 2145950 2360545 2906156 3302450 3632695 4291900 4721090 6604900 7265390 9442180 11030183 11802725 14530780 18163475 22060366 23605450 36326950 44120732 47210900 55150915 72653900 110301830 121332013 220603660 242664026 275754575 485328052 551509150 606660065 1103018300 1213320130 2426640260 3033300325 6066600650 12133201300